Of course you can get in. Most people don't put out publications as an undergrad. All that matters is: 1. Your GPA. 2. Your GRE scores. 3. The degree to which your research advisor will vouch for you. If you want to get into Harvard, Caltech, or MIT, all three of those things better be great. For the 2nd tier, being relatively good is good enough.
Lastly, you have a year left of school, so absolutely try to get something published in the next year, since it will look good on your CV for fellowship applications.